# SHM in Electrostatics?

A thin fixed ring of radius $$a$$ has a positive charge $$q$$ uniformly distributed over it. A particle of mass $$m$$ having a negative charge $$Q$$, is placed on the axis at a distance of $$x$$ ($$x<<a$$) from the center of the ring. Find the time period of oscillation of the negatively charged particle.

If the answer is of the form $$\huge \delta \pi \sqrt { \frac { \Delta \pi { \varepsilon }_{ o }m{ a }^{ \alpha } }{ qQ } }$$, find $$\delta +\Delta +\alpha$$.

Hint: The motion is simple harmonic by nature.

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